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41225216 = 210127317
BaseRepresentation
bin1001110101000…
…0110000000000
32212120110100212
42131100300000
541023201331
64031333252
71010260064
oct235206000
985513325
1041225216
11212a812a
1211981228
138705426
145691aa4
153944d2b
hex2750c00

41225216 has 44 divisors (see below), whose sum is σ = 83321088. Its totient is φ = 20385792.

The previous prime is 41225209. The next prime is 41225263. The reversal of 41225216 is 61252214.

It is a happy number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 41225191 and 41225200.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129890 + ... + 130206.

Almost surely, 241225216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41660544).

41225216 is an abundant number, since it is smaller than the sum of its proper divisors (42095872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41225216 is a wasteful number, since it uses less digits than its factorization.

41225216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 446 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 41225216 is about 6420.6865676499. The cubic root of 41225216 is about 345.4519484737.

The spelling of 41225216 in words is "forty-one million, two hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 317 508 512 634 1016 1024 1268 2032 2536 4064 5072 8128 10144 16256 20288 32512 40259 40576 65024 80518 81152 130048 161036 162304 322072 324608 644144 1288288 2576576 5153152 10306304 20612608 41225216